Properties

Label 177.2.f.a.8.16
Level $177$
Weight $2$
Character 177.8
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 8.16
Character \(\chi\) \(=\) 177.8
Dual form 177.2.f.a.155.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.317307 - 1.93549i) q^{2} +(-1.70744 - 0.290956i) q^{3} +(-1.75012 - 0.589685i) q^{4} +(-2.92507 + 1.98325i) q^{5} +(-1.10492 + 3.21240i) q^{6} +(-2.73852 + 0.602794i) q^{7} +(0.140747 - 0.265477i) q^{8} +(2.83069 + 0.993578i) q^{9} +O(q^{10})\) \(q+(0.317307 - 1.93549i) q^{2} +(-1.70744 - 0.290956i) q^{3} +(-1.75012 - 0.589685i) q^{4} +(-2.92507 + 1.98325i) q^{5} +(-1.10492 + 3.21240i) q^{6} +(-2.73852 + 0.602794i) q^{7} +(0.140747 - 0.265477i) q^{8} +(2.83069 + 0.993578i) q^{9} +(2.91041 + 6.29074i) q^{10} +(-2.01160 + 1.52918i) q^{11} +(2.81666 + 1.51606i) q^{12} +(-2.03098 - 3.37551i) q^{13} +(0.297748 + 5.49164i) q^{14} +(5.57142 - 2.53521i) q^{15} +(-3.40961 - 2.59192i) q^{16} +(1.04883 - 4.76487i) q^{17} +(2.82126 - 5.16350i) q^{18} +(-5.48029 + 0.596018i) q^{19} +(6.28873 - 1.74606i) q^{20} +(4.85124 - 0.232445i) q^{21} +(2.32141 + 4.37865i) q^{22} +(5.39194 + 6.34788i) q^{23} +(-0.317559 + 0.412335i) q^{24} +(2.77209 - 6.95741i) q^{25} +(-7.17771 + 2.85986i) q^{26} +(-4.54414 - 2.52008i) q^{27} +(5.14821 + 0.559901i) q^{28} +(-4.96592 + 0.814121i) q^{29} +(-3.13901 - 11.5879i) q^{30} +(-0.0516452 + 0.474870i) q^{31} +(-5.66223 + 5.36355i) q^{32} +(3.87961 - 2.02569i) q^{33} +(-8.88956 - 3.54192i) q^{34} +(6.81488 - 7.19438i) q^{35} +(-4.36816 - 3.40810i) q^{36} +(4.35883 - 2.31091i) q^{37} +(-0.585351 + 10.7962i) q^{38} +(2.48564 + 6.35440i) q^{39} +(0.114812 + 1.05568i) q^{40} +(-5.04670 - 4.28671i) q^{41} +(1.08944 - 9.46327i) q^{42} +(-1.09884 + 1.44550i) q^{43} +(4.42229 - 1.49004i) q^{44} +(-10.2505 + 2.70767i) q^{45} +(13.9971 - 8.42180i) q^{46} +(2.14776 - 3.16771i) q^{47} +(5.06757 + 5.41759i) q^{48} +(0.783101 - 0.362301i) q^{49} +(-12.5864 - 7.57298i) q^{50} +(-3.17718 + 7.83056i) q^{51} +(1.56397 + 7.10520i) q^{52} +(2.23874 - 4.83896i) q^{53} +(-6.31947 + 7.99549i) q^{54} +(2.85134 - 8.46247i) q^{55} +(-0.225411 + 0.811856i) q^{56} +(9.53067 + 0.576860i) q^{57} +9.86981i q^{58} +(-7.29534 + 2.40374i) q^{59} +(-11.2456 + 1.15154i) q^{60} +(10.4904 + 1.71981i) q^{61} +(0.902718 + 0.250638i) q^{62} +(-8.35082 - 1.01461i) q^{63} +(3.77737 + 5.57120i) q^{64} +(12.6352 + 5.84569i) q^{65} +(-2.68968 - 8.15170i) q^{66} +(-2.77767 - 1.47262i) q^{67} +(-4.64536 + 7.72064i) q^{68} +(-7.35945 - 12.4074i) q^{69} +(-11.7622 - 15.4729i) q^{70} +(2.09285 + 1.41899i) q^{71} +(0.662184 - 0.611641i) q^{72} +(-4.66322 + 0.252832i) q^{73} +(-3.08964 - 9.16973i) q^{74} +(-6.75747 + 11.0728i) q^{75} +(9.94265 + 2.18854i) q^{76} +(4.58703 - 5.40027i) q^{77} +(13.0876 - 2.79464i) q^{78} +(0.406217 + 1.46306i) q^{79} +(15.1138 + 0.819446i) q^{80} +(7.02560 + 5.62502i) q^{81} +(-9.89822 + 8.40762i) q^{82} +(0.830942 + 0.787110i) q^{83} +(-8.62734 - 2.45390i) q^{84} +(6.38203 + 16.0177i) q^{85} +(2.44908 + 2.58546i) q^{86} +(8.71588 + 0.0548019i) q^{87} +(0.122835 + 0.749262i) q^{88} +(1.85800 + 11.3333i) q^{89} +(1.98812 + 20.6989i) q^{90} +(7.59661 + 8.01965i) q^{91} +(-5.69331 - 14.2891i) q^{92} +(0.226347 - 0.795785i) q^{93} +(-5.44957 - 5.16211i) q^{94} +(14.8482 - 12.6122i) q^{95} +(11.2285 - 7.51047i) q^{96} +(-11.0444 - 0.598809i) q^{97} +(-0.452746 - 1.63064i) q^{98} +(-7.21358 + 2.32995i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{58}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.317307 1.93549i 0.224370 1.36860i −0.598844 0.800866i \(-0.704373\pi\)
0.823214 0.567731i \(-0.192179\pi\)
\(3\) −1.70744 0.290956i −0.985790 0.167983i
\(4\) −1.75012 0.589685i −0.875062 0.294843i
\(5\) −2.92507 + 1.98325i −1.30813 + 0.886936i −0.997966 0.0637465i \(-0.979695\pi\)
−0.310166 + 0.950682i \(0.600385\pi\)
\(6\) −1.10492 + 3.21240i −0.451083 + 1.31146i
\(7\) −2.73852 + 0.602794i −1.03506 + 0.227835i −0.699837 0.714303i \(-0.746744\pi\)
−0.335226 + 0.942138i \(0.608813\pi\)
\(8\) 0.140747 0.265477i 0.0497616 0.0938604i
\(9\) 2.83069 + 0.993578i 0.943563 + 0.331193i
\(10\) 2.91041 + 6.29074i 0.920352 + 1.98931i
\(11\) −2.01160 + 1.52918i −0.606521 + 0.461065i −0.862805 0.505536i \(-0.831295\pi\)
0.256285 + 0.966601i \(0.417502\pi\)
\(12\) 2.81666 + 1.51606i 0.813098 + 0.437649i
\(13\) −2.03098 3.37551i −0.563292 0.936199i −0.999342 0.0362761i \(-0.988450\pi\)
0.436050 0.899923i \(-0.356377\pi\)
\(14\) 0.297748 + 5.49164i 0.0795766 + 1.46770i
\(15\) 5.57142 2.53521i 1.43853 0.654588i
\(16\) −3.40961 2.59192i −0.852403 0.647980i
\(17\) 1.04883 4.76487i 0.254378 1.15565i −0.660151 0.751133i \(-0.729508\pi\)
0.914530 0.404519i \(-0.132561\pi\)
\(18\) 2.82126 5.16350i 0.664977 1.21705i
\(19\) −5.48029 + 0.596018i −1.25727 + 0.136736i −0.712392 0.701782i \(-0.752388\pi\)
−0.544874 + 0.838518i \(0.683422\pi\)
\(20\) 6.28873 1.74606i 1.40620 0.390430i
\(21\) 4.85124 0.232445i 1.05863 0.0507236i
\(22\) 2.32141 + 4.37865i 0.494927 + 0.933531i
\(23\) 5.39194 + 6.34788i 1.12430 + 1.32362i 0.940164 + 0.340723i \(0.110672\pi\)
0.184133 + 0.982901i \(0.441052\pi\)
\(24\) −0.317559 + 0.412335i −0.0648215 + 0.0841675i
\(25\) 2.77209 6.95741i 0.554417 1.39148i
\(26\) −7.17771 + 2.85986i −1.40766 + 0.560865i
\(27\) −4.54414 2.52008i −0.874520 0.484989i
\(28\) 5.14821 + 0.559901i 0.972920 + 0.105811i
\(29\) −4.96592 + 0.814121i −0.922148 + 0.151179i −0.604112 0.796900i \(-0.706472\pi\)
−0.318037 + 0.948078i \(0.603024\pi\)
\(30\) −3.13901 11.5879i −0.573103 2.11564i
\(31\) −0.0516452 + 0.474870i −0.00927576 + 0.0852892i −0.997861 0.0653749i \(-0.979176\pi\)
0.988585 + 0.150664i \(0.0481412\pi\)
\(32\) −5.66223 + 5.36355i −1.00095 + 0.948151i
\(33\) 3.87961 2.02569i 0.675353 0.352628i
\(34\) −8.88956 3.54192i −1.52455 0.607435i
\(35\) 6.81488 7.19438i 1.15192 1.21607i
\(36\) −4.36816 3.40810i −0.728026 0.568017i
\(37\) 4.35883 2.31091i 0.716587 0.379911i −0.0698691 0.997556i \(-0.522258\pi\)
0.786457 + 0.617646i \(0.211913\pi\)
\(38\) −0.585351 + 10.7962i −0.0949564 + 1.75137i
\(39\) 2.48564 + 6.35440i 0.398022 + 1.01752i
\(40\) 0.114812 + 1.05568i 0.0181533 + 0.166917i
\(41\) −5.04670 4.28671i −0.788162 0.669471i 0.160050 0.987109i \(-0.448834\pi\)
−0.948212 + 0.317638i \(0.897110\pi\)
\(42\) 1.08944 9.46327i 0.168104 1.46021i
\(43\) −1.09884 + 1.44550i −0.167571 + 0.220437i −0.872212 0.489128i \(-0.837315\pi\)
0.704641 + 0.709564i \(0.251108\pi\)
\(44\) 4.42229 1.49004i 0.666685 0.224632i
\(45\) −10.2505 + 2.70767i −1.52805 + 0.403636i
\(46\) 13.9971 8.42180i 2.06377 1.24173i
\(47\) 2.14776 3.16771i 0.313283 0.462058i −0.638151 0.769912i \(-0.720300\pi\)
0.951434 + 0.307853i \(0.0996106\pi\)
\(48\) 5.06757 + 5.41759i 0.731441 + 0.781962i
\(49\) 0.783101 0.362301i 0.111872 0.0517573i
\(50\) −12.5864 7.57298i −1.77998 1.07098i
\(51\) −3.17718 + 7.83056i −0.444894 + 1.09650i
\(52\) 1.56397 + 7.10520i 0.216884 + 0.985314i
\(53\) 2.23874 4.83896i 0.307515 0.664682i −0.690779 0.723066i \(-0.742732\pi\)
0.998294 + 0.0583832i \(0.0185945\pi\)
\(54\) −6.31947 + 7.99549i −0.859971 + 1.08805i
\(55\) 2.85134 8.46247i 0.384474 1.14108i
\(56\) −0.225411 + 0.811856i −0.0301218 + 0.108489i
\(57\) 9.53067 + 0.576860i 1.26237 + 0.0764069i
\(58\) 9.86981i 1.29597i
\(59\) −7.29534 + 2.40374i −0.949773 + 0.312940i
\(60\) −11.2456 + 1.15154i −1.45181 + 0.148663i
\(61\) 10.4904 + 1.71981i 1.34316 + 0.220199i 0.790117 0.612957i \(-0.210020\pi\)
0.553039 + 0.833156i \(0.313468\pi\)
\(62\) 0.902718 + 0.250638i 0.114645 + 0.0318311i
\(63\) −8.35082 1.01461i −1.05210 0.127829i
\(64\) 3.77737 + 5.57120i 0.472171 + 0.696400i
\(65\) 12.6352 + 5.84569i 1.56721 + 0.725068i
\(66\) −2.68968 8.15170i −0.331076 1.00341i
\(67\) −2.77767 1.47262i −0.339346 0.179910i 0.290017 0.957022i \(-0.406339\pi\)
−0.629363 + 0.777112i \(0.716684\pi\)
\(68\) −4.64536 + 7.72064i −0.563332 + 0.936265i
\(69\) −7.35945 12.4074i −0.885973 1.49368i
\(70\) −11.7622 15.4729i −1.40586 1.84937i
\(71\) 2.09285 + 1.41899i 0.248376 + 0.168403i 0.679022 0.734118i \(-0.262404\pi\)
−0.430646 + 0.902521i \(0.641714\pi\)
\(72\) 0.662184 0.611641i 0.0780391 0.0720825i
\(73\) −4.66322 + 0.252832i −0.545788 + 0.0295918i −0.324972 0.945724i \(-0.605355\pi\)
−0.220816 + 0.975315i \(0.570872\pi\)
\(74\) −3.08964 9.16973i −0.359164 1.06596i
\(75\) −6.75747 + 11.0728i −0.780285 + 1.27858i
\(76\) 9.94265 + 2.18854i 1.14050 + 0.251043i
\(77\) 4.58703 5.40027i 0.522741 0.615418i
\(78\) 13.0876 2.79464i 1.48188 0.316430i
\(79\) 0.406217 + 1.46306i 0.0457030 + 0.164607i 0.982880 0.184247i \(-0.0589846\pi\)
−0.937177 + 0.348854i \(0.886571\pi\)
\(80\) 15.1138 + 0.819446i 1.68977 + 0.0916169i
\(81\) 7.02560 + 5.62502i 0.780623 + 0.625002i
\(82\) −9.89822 + 8.40762i −1.09308 + 0.928467i
\(83\) 0.830942 + 0.787110i 0.0912077 + 0.0863965i 0.731945 0.681364i \(-0.238613\pi\)
−0.640738 + 0.767760i \(0.721371\pi\)
\(84\) −8.62734 2.45390i −0.941320 0.267742i
\(85\) 6.38203 + 16.0177i 0.692229 + 1.73736i
\(86\) 2.44908 + 2.58546i 0.264091 + 0.278797i
\(87\) 8.71588 + 0.0548019i 0.934440 + 0.00587538i
\(88\) 0.122835 + 0.749262i 0.0130943 + 0.0798716i
\(89\) 1.85800 + 11.3333i 0.196948 + 1.20133i 0.881435 + 0.472305i \(0.156578\pi\)
−0.684487 + 0.729025i \(0.739974\pi\)
\(90\) 1.98812 + 20.6989i 0.209566 + 2.18185i
\(91\) 7.59661 + 8.01965i 0.796341 + 0.840687i
\(92\) −5.69331 14.2891i −0.593568 1.48974i
\(93\) 0.226347 0.795785i 0.0234711 0.0825190i
\(94\) −5.44957 5.16211i −0.562080 0.532430i
\(95\) 14.8482 12.6122i 1.52339 1.29398i
\(96\) 11.2285 7.51047i 1.14600 0.766534i
\(97\) −11.0444 0.598809i −1.12139 0.0607999i −0.515896 0.856651i \(-0.672541\pi\)
−0.605492 + 0.795852i \(0.707024\pi\)
\(98\) −0.452746 1.63064i −0.0457342 0.164720i
\(99\) −7.21358 + 2.32995i −0.724992 + 0.234169i
\(100\) −8.95418 + 10.5417i −0.895418 + 1.05417i
\(101\) 3.38838 + 0.745839i 0.337156 + 0.0742137i 0.380322 0.924854i \(-0.375813\pi\)
−0.0431655 + 0.999068i \(0.513744\pi\)
\(102\) 14.1478 + 8.63408i 1.40084 + 0.854902i
\(103\) 1.52377 + 4.52239i 0.150142 + 0.445604i 0.996160 0.0875489i \(-0.0279034\pi\)
−0.846019 + 0.533153i \(0.821007\pi\)
\(104\) −1.18198 + 0.0640849i −0.115902 + 0.00628404i
\(105\) −13.7292 + 10.3011i −1.33984 + 1.00529i
\(106\) −8.65538 5.86849i −0.840685 0.569999i
\(107\) −7.36764 9.69196i −0.712256 0.936957i 0.287527 0.957773i \(-0.407167\pi\)
−0.999783 + 0.0208154i \(0.993374\pi\)
\(108\) 6.46675 + 7.09006i 0.622264 + 0.682242i
\(109\) 2.27824 3.78647i 0.218216 0.362678i −0.728341 0.685215i \(-0.759708\pi\)
0.946557 + 0.322537i \(0.104536\pi\)
\(110\) −15.4743 8.20393i −1.47541 0.782214i
\(111\) −8.11481 + 2.67750i −0.770223 + 0.254137i
\(112\) 10.8997 + 5.04273i 1.02992 + 0.476493i
\(113\) −2.50884 3.70026i −0.236012 0.348091i 0.691177 0.722685i \(-0.257092\pi\)
−0.927189 + 0.374594i \(0.877782\pi\)
\(114\) 4.14066 18.2635i 0.387808 1.71053i
\(115\) −28.3612 7.87446i −2.64470 0.734297i
\(116\) 9.17105 + 1.50352i 0.851511 + 0.139598i
\(117\) −2.39523 11.5730i −0.221439 1.06992i
\(118\) 2.33755 + 14.8828i 0.215189 + 1.37007i
\(119\) 13.6809i 1.25413i
\(120\) 0.111121 1.83591i 0.0101440 0.167595i
\(121\) −1.23466 + 4.44685i −0.112242 + 0.404259i
\(122\) 6.65734 19.7583i 0.602728 1.78883i
\(123\) 7.36969 + 8.78765i 0.664502 + 0.792356i
\(124\) 0.370409 0.800627i 0.0332637 0.0718984i
\(125\) 1.89117 + 8.59167i 0.169151 + 0.768463i
\(126\) −4.61354 + 15.8410i −0.411007 + 1.41123i
\(127\) −14.8793 8.95260i −1.32033 0.794415i −0.331497 0.943456i \(-0.607554\pi\)
−0.988831 + 0.149041i \(0.952381\pi\)
\(128\) −2.17526 + 1.00638i −0.192268 + 0.0889526i
\(129\) 2.29678 2.14839i 0.202220 0.189155i
\(130\) 15.3235 22.6005i 1.34396 1.98219i
\(131\) −13.0645 + 7.86064i −1.14145 + 0.686788i −0.955272 0.295729i \(-0.904438\pi\)
−0.186178 + 0.982516i \(0.559610\pi\)
\(132\) −7.98432 + 1.25746i −0.694945 + 0.109448i
\(133\) 14.6486 4.93569i 1.27020 0.427979i
\(134\) −3.73162 + 4.90886i −0.322363 + 0.424061i
\(135\) 18.2899 1.64074i 1.57414 0.141213i
\(136\) −1.11735 0.949083i −0.0958117 0.0813832i
\(137\) −0.408724 3.75816i −0.0349197 0.321081i −0.998550 0.0538407i \(-0.982854\pi\)
0.963630 0.267241i \(-0.0861118\pi\)
\(138\) −26.3496 + 10.3072i −2.24303 + 0.877403i
\(139\) 0.313579 5.78363i 0.0265974 0.490561i −0.954641 0.297761i \(-0.903760\pi\)
0.981238 0.192800i \(-0.0617569\pi\)
\(140\) −16.1693 + 8.57242i −1.36656 + 0.724502i
\(141\) −4.58883 + 4.78377i −0.386450 + 0.402866i
\(142\) 3.41052 3.60044i 0.286204 0.302142i
\(143\) 9.24728 + 3.68445i 0.773297 + 0.308110i
\(144\) −7.07628 10.7246i −0.589690 0.893720i
\(145\) 12.9111 12.2300i 1.07221 1.01565i
\(146\) −0.990318 + 9.10582i −0.0819593 + 0.753603i
\(147\) −1.44251 + 0.390759i −0.118976 + 0.0322293i
\(148\) −8.99120 + 1.47403i −0.739072 + 0.121165i
\(149\) 2.81878 + 0.306561i 0.230924 + 0.0251145i 0.222849 0.974853i \(-0.428464\pi\)
0.00807447 + 0.999967i \(0.497430\pi\)
\(150\) 19.2871 + 16.5925i 1.57478 + 1.35477i
\(151\) −12.8488 + 5.11941i −1.04562 + 0.416612i −0.828768 0.559593i \(-0.810957\pi\)
−0.216850 + 0.976205i \(0.569578\pi\)
\(152\) −0.613107 + 1.53878i −0.0497295 + 0.124812i
\(153\) 7.70318 12.4458i 0.622765 1.00618i
\(154\) −8.99666 10.5917i −0.724971 0.853502i
\(155\) −0.790719 1.49145i −0.0635121 0.119797i
\(156\) −0.603087 12.5867i −0.0482856 1.00775i
\(157\) −1.16061 + 0.322242i −0.0926268 + 0.0257177i −0.313533 0.949577i \(-0.601512\pi\)
0.220906 + 0.975295i \(0.429099\pi\)
\(158\) 2.96064 0.321989i 0.235536 0.0256160i
\(159\) −5.23044 + 7.61085i −0.414801 + 0.603580i
\(160\) 5.92519 26.9184i 0.468427 2.12809i
\(161\) −18.5924 14.1336i −1.46529 1.11388i
\(162\) 13.1164 11.8131i 1.03052 0.928126i
\(163\) 0.783382 + 14.4486i 0.0613592 + 1.13170i 0.853407 + 0.521245i \(0.174532\pi\)
−0.792048 + 0.610459i \(0.790985\pi\)
\(164\) 6.30454 + 10.4782i 0.492302 + 0.818212i
\(165\) −7.33069 + 13.6195i −0.570693 + 1.06028i
\(166\) 1.78711 1.35852i 0.138706 0.105442i
\(167\) −4.86358 10.5125i −0.376355 0.813478i −0.999508 0.0313779i \(-0.990010\pi\)
0.623152 0.782100i \(-0.285852\pi\)
\(168\) 0.621089 1.32061i 0.0479181 0.101887i
\(169\) −1.17990 + 2.22553i −0.0907616 + 0.171195i
\(170\) 33.0271 7.26982i 2.53306 0.557570i
\(171\) −16.1052 3.75796i −1.23160 0.287378i
\(172\) 2.77549 1.88183i 0.211630 0.143488i
\(173\) 13.2431 + 4.46213i 1.00686 + 0.339250i 0.773948 0.633249i \(-0.218279\pi\)
0.232909 + 0.972499i \(0.425176\pi\)
\(174\) 2.87168 16.8521i 0.217701 1.27755i
\(175\) −3.39753 + 20.7240i −0.256829 + 1.56659i
\(176\) 10.8223 0.815761
\(177\) 13.1557 1.98162i 0.988845 0.148947i
\(178\) 22.5251 1.68833
\(179\) 3.59827 21.9485i 0.268948 1.64051i −0.414170 0.910199i \(-0.635928\pi\)
0.683118 0.730308i \(-0.260623\pi\)
\(180\) 19.5363 + 1.30580i 1.45615 + 0.0973286i
\(181\) 13.4277 + 4.52433i 0.998077 + 0.336291i 0.770480 0.637464i \(-0.220017\pi\)
0.227597 + 0.973755i \(0.426913\pi\)
\(182\) 17.9324 12.1585i 1.32924 0.901245i
\(183\) −17.4113 5.98871i −1.28708 0.442698i
\(184\) 2.44412 0.537991i 0.180183 0.0396612i
\(185\) −8.16680 + 15.4042i −0.600435 + 1.13254i
\(186\) −1.46841 0.690601i −0.107669 0.0506373i
\(187\) 5.17652 + 11.1889i 0.378545 + 0.818211i
\(188\) −5.62680 + 4.27738i −0.410377 + 0.311960i
\(189\) 13.9633 + 4.16211i 1.01568 + 0.302749i
\(190\) −19.6993 32.7405i −1.42914 2.37524i
\(191\) −0.830614 15.3198i −0.0601011 1.10850i −0.860638 0.509217i \(-0.829935\pi\)
0.800537 0.599283i \(-0.204548\pi\)
\(192\) −4.82865 10.6115i −0.348478 0.765821i
\(193\) −14.6765 11.1568i −1.05644 0.803083i −0.0754494 0.997150i \(-0.524039\pi\)
−0.980988 + 0.194067i \(0.937832\pi\)
\(194\) −4.66345 + 21.1863i −0.334816 + 1.52109i
\(195\) −19.8731 13.6574i −1.42314 0.978030i
\(196\) −1.58417 + 0.172289i −0.113155 + 0.0123063i
\(197\) −26.1430 + 7.25858i −1.86261 + 0.517152i −0.862679 + 0.505752i \(0.831215\pi\)
−0.999935 + 0.0114000i \(0.996371\pi\)
\(198\) 2.22067 + 14.7011i 0.157816 + 1.04476i
\(199\) 7.20346 + 13.5872i 0.510640 + 0.963169i 0.996043 + 0.0888780i \(0.0283281\pi\)
−0.485403 + 0.874291i \(0.661327\pi\)
\(200\) −1.45687 1.71516i −0.103016 0.121280i
\(201\) 4.31422 + 3.32259i 0.304302 + 0.234358i
\(202\) 2.51872 6.32151i 0.177216 0.444780i
\(203\) 13.1085 5.22291i 0.920038 0.366577i
\(204\) 10.1780 11.8309i 0.712604 0.828330i
\(205\) 23.2636 + 2.53007i 1.62480 + 0.176707i
\(206\) 9.23654 1.51425i 0.643540 0.105503i
\(207\) 8.95579 + 23.3262i 0.622470 + 1.62128i
\(208\) −1.82421 + 16.7733i −0.126486 + 1.16302i
\(209\) 10.1127 9.57930i 0.699513 0.662614i
\(210\) 15.5813 + 29.8414i 1.07521 + 2.05925i
\(211\) −12.1728 4.85010i −0.838012 0.333895i −0.0886566 0.996062i \(-0.528257\pi\)
−0.749356 + 0.662168i \(0.769637\pi\)
\(212\) −6.77154 + 7.14863i −0.465071 + 0.490970i
\(213\) −3.16056 3.03177i −0.216558 0.207733i
\(214\) −21.0965 + 11.1846i −1.44213 + 0.764566i
\(215\) 0.347403 6.40746i 0.0236927 0.436985i
\(216\) −1.30860 + 0.851672i −0.0890389 + 0.0579489i
\(217\) −0.144817 1.33157i −0.00983083 0.0903930i
\(218\) −6.60577 5.61099i −0.447399 0.380024i
\(219\) 8.03571 + 0.925095i 0.543003 + 0.0625121i
\(220\) −9.98039 + 13.1290i −0.672878 + 0.885155i
\(221\) −18.2140 + 6.13702i −1.22521 + 0.412821i
\(222\) 2.60739 + 16.5557i 0.174996 + 1.11115i
\(223\) 20.4891 12.3279i 1.37205 0.825535i 0.377126 0.926162i \(-0.376912\pi\)
0.994924 + 0.100626i \(0.0320847\pi\)
\(224\) 12.2730 18.1014i 0.820026 1.20945i
\(225\) 14.7596 16.9400i 0.983977 1.12933i
\(226\) −7.95788 + 3.68171i −0.529350 + 0.244904i
\(227\) −9.31905 5.60708i −0.618527 0.372155i 0.171539 0.985177i \(-0.445126\pi\)
−0.790066 + 0.613022i \(0.789954\pi\)
\(228\) −16.3397 6.62968i −1.08212 0.439061i
\(229\) −4.66292 21.1838i −0.308134 1.39987i −0.835155 0.550015i \(-0.814622\pi\)
0.527021 0.849853i \(-0.323309\pi\)
\(230\) −24.2401 + 52.3942i −1.59835 + 3.45477i
\(231\) −9.40331 + 7.88600i −0.618692 + 0.518861i
\(232\) −0.482809 + 1.43292i −0.0316979 + 0.0940761i
\(233\) 1.36198 4.90543i 0.0892266 0.321365i −0.905444 0.424465i \(-0.860462\pi\)
0.994671 + 0.103100i \(0.0328761\pi\)
\(234\) −23.1594 + 0.963762i −1.51397 + 0.0630031i
\(235\) 13.5253i 0.882296i
\(236\) 14.1852 + 0.0951123i 0.923378 + 0.00619128i
\(237\) −0.267904 2.61628i −0.0174023 0.169946i
\(238\) 26.4793 + 4.34106i 1.71640 + 0.281389i
\(239\) 5.75444 + 1.59771i 0.372224 + 0.103347i 0.448602 0.893731i \(-0.351922\pi\)
−0.0763785 + 0.997079i \(0.524336\pi\)
\(240\) −25.5674 5.79660i −1.65037 0.374169i
\(241\) −0.251706 0.371239i −0.0162138 0.0239136i 0.819496 0.573085i \(-0.194254\pi\)
−0.835710 + 0.549172i \(0.814943\pi\)
\(242\) 8.21506 + 3.80069i 0.528084 + 0.244318i
\(243\) −10.3592 11.6485i −0.664540 0.747253i
\(244\) −17.3453 9.19590i −1.11042 0.588707i
\(245\) −1.57209 + 2.61284i −0.100437 + 0.166928i
\(246\) 19.3468 11.4756i 1.23351 0.731655i
\(247\) 13.1422 + 17.2883i 0.836219 + 1.10003i
\(248\) 0.118798 + 0.0805473i 0.00754370 + 0.00511476i
\(249\) −1.18977 1.58571i −0.0753984 0.100490i
\(250\) 17.2292 0.934138i 1.08967 0.0590801i
\(251\) 4.78916 + 14.2137i 0.302289 + 0.897161i 0.985903 + 0.167318i \(0.0535106\pi\)
−0.683614 + 0.729844i \(0.739593\pi\)
\(252\) 14.0167 + 6.70005i 0.882967 + 0.422064i
\(253\) −20.5535 4.52416i −1.29219 0.284432i
\(254\) −22.0490 + 25.9581i −1.38348 + 1.62875i
\(255\) −6.23648 29.2061i −0.390544 1.82896i
\(256\) 4.85910 + 17.5009i 0.303694 + 1.09381i
\(257\) −8.52521 0.462223i −0.531788 0.0288327i −0.213710 0.976897i \(-0.568555\pi\)
−0.318078 + 0.948065i \(0.603037\pi\)
\(258\) −3.42939 5.12708i −0.213505 0.319198i
\(259\) −10.5437 + 8.95594i −0.655156 + 0.556495i
\(260\) −18.6661 17.6815i −1.15762 1.09656i
\(261\) −14.8659 2.62951i −0.920174 0.162762i
\(262\) 11.0687 + 27.7804i 0.683828 + 1.71628i
\(263\) 10.4865 + 11.0704i 0.646624 + 0.682632i 0.964071 0.265644i \(-0.0855844\pi\)
−0.317448 + 0.948276i \(0.602826\pi\)
\(264\) 0.00826855 1.31506i 0.000508894 0.0809363i
\(265\) 3.04838 + 18.5943i 0.187260 + 1.14224i
\(266\) −4.90486 29.9183i −0.300736 1.83441i
\(267\) 0.125070 19.8915i 0.00765415 1.21734i
\(268\) 3.99287 + 4.21522i 0.243903 + 0.257486i
\(269\) 5.50159 + 13.8080i 0.335438 + 0.841886i 0.995852 + 0.0909845i \(0.0290014\pi\)
−0.660414 + 0.750901i \(0.729619\pi\)
\(270\) 2.62787 35.9205i 0.159927 2.18605i
\(271\) −9.97089 9.44493i −0.605689 0.573739i 0.322165 0.946684i \(-0.395589\pi\)
−0.927854 + 0.372945i \(0.878348\pi\)
\(272\) −15.9263 + 13.5279i −0.965672 + 0.820249i
\(273\) −10.6374 15.9033i −0.643804 0.962513i
\(274\) −7.40356 0.401409i −0.447266 0.0242500i
\(275\) 5.06280 + 18.2346i 0.305298 + 1.09959i
\(276\) 5.56346 + 26.0543i 0.334881 + 1.56828i
\(277\) −14.7747 + 17.3941i −0.887724 + 1.04511i 0.110960 + 0.993825i \(0.464607\pi\)
−0.998684 + 0.0512844i \(0.983669\pi\)
\(278\) −11.0946 2.44211i −0.665412 0.146468i
\(279\) −0.618012 + 1.29290i −0.0369994 + 0.0774037i
\(280\) −0.950770 2.82179i −0.0568194 0.168634i
\(281\) 21.3154 1.15568i 1.27157 0.0689424i 0.594037 0.804437i \(-0.297533\pi\)
0.677530 + 0.735495i \(0.263050\pi\)
\(282\) 7.80286 + 10.3996i 0.464653 + 0.619285i
\(283\) 14.8764 + 10.0865i 0.884313 + 0.599579i 0.916558 0.399901i \(-0.130956\pi\)
−0.0322456 + 0.999480i \(0.510266\pi\)
\(284\) −2.82600 3.71753i −0.167692 0.220595i
\(285\) −29.0220 + 17.2143i −1.71911 + 1.01969i
\(286\) 10.0654 16.7289i 0.595182 0.989201i
\(287\) 16.4045 + 8.69711i 0.968326 + 0.513374i
\(288\) −21.3571 + 9.55668i −1.25848 + 0.563133i
\(289\) −6.17520 2.85695i −0.363247 0.168056i
\(290\) −19.5743 28.8699i −1.14944 1.69530i
\(291\) 18.6834 + 4.23586i 1.09524 + 0.248310i
\(292\) 8.31030 + 2.30734i 0.486323 + 0.135027i
\(293\) −17.4739 2.86470i −1.02084 0.167358i −0.371958 0.928249i \(-0.621314\pi\)
−0.648879 + 0.760892i \(0.724762\pi\)
\(294\) 0.298590 + 2.91595i 0.0174141 + 0.170062i
\(295\) 16.5722 21.4996i 0.964870 1.25176i
\(296\) 1.48242i 0.0861642i
\(297\) 12.9946 1.87941i 0.754026 0.109054i
\(298\) 1.48776 5.35844i 0.0861839 0.310406i
\(299\) 10.4764 31.0930i 0.605868 1.79815i
\(300\) 18.3559 15.3940i 1.05978 0.888772i
\(301\) 2.13786 4.62090i 0.123224 0.266344i
\(302\) 5.83156 + 26.4930i 0.335569 + 1.52450i
\(303\) −5.56844 2.25934i −0.319899 0.129796i
\(304\) 20.2305 + 12.1723i 1.16030 + 0.698129i
\(305\) −34.0959 + 15.7745i −1.95233 + 0.903243i
\(306\) −21.6444 18.8586i −1.23733 1.07807i
\(307\) 15.6892 23.1398i 0.895428 1.32066i −0.0513203 0.998682i \(-0.516343\pi\)
0.946748 0.321975i \(-0.104347\pi\)
\(308\) −11.2123 + 6.74623i −0.638882 + 0.384402i
\(309\) −1.28593 8.16505i −0.0731539 0.464494i
\(310\) −3.13759 + 1.05718i −0.178203 + 0.0600437i
\(311\) −1.19138 + 1.56724i −0.0675570 + 0.0888698i −0.828631 0.559796i \(-0.810880\pi\)
0.761073 + 0.648666i \(0.224673\pi\)
\(312\) 2.03680 + 0.234482i 0.115311 + 0.0132749i
\(313\) 19.6652 + 16.7038i 1.11154 + 0.944154i 0.998776 0.0494678i \(-0.0157525\pi\)
0.112768 + 0.993621i \(0.464028\pi\)
\(314\) 0.255425 + 2.34860i 0.0144145 + 0.132539i
\(315\) 26.4390 13.5939i 1.48967 0.765932i
\(316\) 0.151816 2.80008i 0.00854031 0.157517i
\(317\) 0.414060 0.219521i 0.0232559 0.0123295i −0.456740 0.889600i \(-0.650983\pi\)
0.479996 + 0.877271i \(0.340638\pi\)
\(318\) 13.0711 + 12.5384i 0.732988 + 0.703120i
\(319\) 8.74452 9.23147i 0.489599 0.516863i
\(320\) −22.0982 8.80471i −1.23533 0.492199i
\(321\) 9.75985 + 18.6921i 0.544742 + 1.04329i
\(322\) −33.2548 + 31.5007i −1.85322 + 1.75546i
\(323\) −2.90794 + 26.7380i −0.161802 + 1.48774i
\(324\) −8.97868 13.9874i −0.498816 0.777077i
\(325\) −29.1149 + 4.77314i −1.61500 + 0.264766i
\(326\) 28.2137 + 3.06843i 1.56261 + 0.169944i
\(327\) −4.99166 + 5.80230i −0.276039 + 0.320868i
\(328\) −1.84833 + 0.736443i −0.102057 + 0.0406633i
\(329\) −3.97221 + 9.96950i −0.218995 + 0.549636i
\(330\) 24.0344 + 18.5100i 1.32305 + 1.01894i
\(331\) −0.648888 0.763930i −0.0356661 0.0419894i 0.744040 0.668135i \(-0.232907\pi\)
−0.779706 + 0.626146i \(0.784631\pi\)
\(332\) −0.990104 1.86753i −0.0543390 0.102494i
\(333\) 14.6346 2.21062i 0.801969 0.121141i
\(334\) −21.8900 + 6.07772i −1.19777 + 0.332558i
\(335\) 11.0455 1.20127i 0.603478 0.0656322i
\(336\) −17.1433 11.7815i −0.935245 0.642733i
\(337\) 5.38470 24.4629i 0.293323 1.33258i −0.567372 0.823462i \(-0.692040\pi\)
0.860695 0.509120i \(-0.170029\pi\)
\(338\) 3.93309 + 2.98986i 0.213932 + 0.162627i
\(339\) 3.20707 + 7.04792i 0.174184 + 0.382791i
\(340\) −1.72395 31.7963i −0.0934942 1.72440i
\(341\) −0.622272 1.03422i −0.0336979 0.0560064i
\(342\) −12.3838 + 29.9790i −0.669638 + 1.62108i
\(343\) 13.7000 10.4145i 0.739731 0.562329i
\(344\) 0.229089 + 0.495167i 0.0123516 + 0.0266976i
\(345\) 46.1339 + 21.6970i 2.48377 + 1.16813i
\(346\) 12.8385 24.2161i 0.690205 1.30186i
\(347\) 16.2990 3.58769i 0.874978 0.192597i 0.245294 0.969449i \(-0.421115\pi\)
0.629684 + 0.776852i \(0.283184\pi\)
\(348\) −15.2215 5.23553i −0.815960 0.280654i
\(349\) −3.03224 + 2.05591i −0.162312 + 0.110050i −0.639639 0.768675i \(-0.720916\pi\)
0.477327 + 0.878726i \(0.341606\pi\)
\(350\) 39.0330 + 13.1518i 2.08640 + 0.702991i
\(351\) 0.722492 + 20.4570i 0.0385638 + 1.09192i
\(352\) 3.18832 19.4479i 0.169938 1.03658i
\(353\) 19.3622 1.03054 0.515272 0.857026i \(-0.327691\pi\)
0.515272 + 0.857026i \(0.327691\pi\)
\(354\) 0.339012 26.0915i 0.0180183 1.38675i
\(355\) −8.93596 −0.474272
\(356\) 3.43136 20.9304i 0.181862 1.10931i
\(357\) 3.98055 23.3593i 0.210673 1.23631i
\(358\) −41.3393 13.9288i −2.18485 0.736161i
\(359\) −2.50053 + 1.69540i −0.131973 + 0.0894798i −0.625387 0.780315i \(-0.715059\pi\)
0.493414 + 0.869794i \(0.335749\pi\)
\(360\) −0.723901 + 3.10237i −0.0381530 + 0.163509i
\(361\) 11.1226 2.44826i 0.585399 0.128856i
\(362\) 13.0175 24.5536i 0.684185 1.29051i
\(363\) 3.40195 7.23349i 0.178556 0.379660i
\(364\) −8.56594 18.5150i −0.448977 0.970449i
\(365\) 13.1388 9.98787i 0.687717 0.522789i
\(366\) −17.1158 + 31.7991i −0.894657 + 1.66216i
\(367\) 5.84796 + 9.71938i 0.305261 + 0.507348i 0.971076 0.238769i \(-0.0767438\pi\)
−0.665816 + 0.746116i \(0.731916\pi\)
\(368\) −1.93122 35.6193i −0.100672 1.85678i
\(369\) −10.0265 17.1486i −0.521957 0.892722i
\(370\) 27.2233 + 20.6946i 1.41527 + 1.07586i
\(371\) −3.21394 + 14.6011i −0.166860 + 0.758051i
\(372\) −0.865398 + 1.25925i −0.0448688 + 0.0652890i
\(373\) −27.8641 + 3.03041i −1.44275 + 0.156909i −0.795770 0.605598i \(-0.792934\pi\)
−0.646980 + 0.762507i \(0.723968\pi\)
\(374\) 23.2985 6.46879i 1.20474 0.334493i
\(375\) −0.729258 15.2200i −0.0376587 0.785957i
\(376\) −0.538664 1.01603i −0.0277795 0.0523977i
\(377\) 12.8338 + 15.1091i 0.660972 + 0.778156i
\(378\) 12.4864 25.7051i 0.642229 1.32213i
\(379\) 5.12241 12.8563i 0.263120 0.660382i −0.736755 0.676160i \(-0.763643\pi\)
0.999876 + 0.0157772i \(0.00502225\pi\)
\(380\) −33.4234 + 13.3171i −1.71458 + 0.683153i
\(381\) 22.8007 + 19.6152i 1.16812 + 1.00492i
\(382\) −29.9148 3.25343i −1.53057 0.166460i
\(383\) −14.9859 + 2.45681i −0.765741 + 0.125537i −0.531980 0.846757i \(-0.678552\pi\)
−0.233762 + 0.972294i \(0.575104\pi\)
\(384\) 4.00694 1.08543i 0.204478 0.0553907i
\(385\) −2.70732 + 24.8934i −0.137978 + 1.26869i
\(386\) −26.2508 + 24.8661i −1.33613 + 1.26565i
\(387\) −4.54669 + 2.99998i −0.231121 + 0.152497i
\(388\) 18.9759 + 7.56070i 0.963357 + 0.383837i
\(389\) 6.61731 6.98581i 0.335511 0.354195i −0.536308 0.844022i \(-0.680182\pi\)
0.871819 + 0.489827i \(0.162940\pi\)
\(390\) −32.7397 + 34.1305i −1.65784 + 1.72826i
\(391\) 35.9021 19.0341i 1.81565 0.962594i
\(392\) 0.0140365 0.258888i 0.000708952 0.0130758i
\(393\) 24.5939 9.62037i 1.24060 0.485284i
\(394\) 5.75352 + 52.9027i 0.289858 + 2.66520i
\(395\) −4.08983 3.47393i −0.205782 0.174793i
\(396\) 13.9986 + 0.176042i 0.703456 + 0.00884643i
\(397\) −0.374817 + 0.493063i −0.0188115 + 0.0247461i −0.805403 0.592728i \(-0.798051\pi\)
0.786591 + 0.617474i \(0.211844\pi\)
\(398\) 28.5835 9.63090i 1.43276 0.482754i
\(399\) −26.4477 + 4.16529i −1.32404 + 0.208525i
\(400\) −27.4848 + 16.5371i −1.37424 + 0.826853i
\(401\) −14.8142 + 21.8493i −0.739785 + 1.09110i 0.252557 + 0.967582i \(0.418729\pi\)
−0.992342 + 0.123520i \(0.960582\pi\)
\(402\) 7.79977 7.29584i 0.389017 0.363884i
\(403\) 1.70782 0.790122i 0.0850726 0.0393588i
\(404\) −5.49027 3.30339i −0.273151 0.164350i
\(405\) −31.7062 2.52008i −1.57550 0.125224i
\(406\) −5.94946 27.0287i −0.295267 1.34141i
\(407\) −5.23444 + 11.3141i −0.259462 + 0.560817i
\(408\) 1.63166 + 1.94560i 0.0807792 + 0.0963215i
\(409\) 2.00352 5.94622i 0.0990675 0.294022i −0.886647 0.462447i \(-0.846972\pi\)
0.985714 + 0.168425i \(0.0538681\pi\)
\(410\) 12.2786 44.2236i 0.606397 2.18405i
\(411\) −0.395587 + 6.53574i −0.0195129 + 0.322384i
\(412\) 8.81329i 0.434200i
\(413\) 18.5295 10.9803i 0.911776 0.540304i
\(414\) 47.9893 9.93225i 2.35855 0.488143i
\(415\) −3.99160 0.654390i −0.195940 0.0321227i
\(416\) 29.6046 + 8.21968i 1.45149 + 0.403003i
\(417\) −2.21820 + 9.78395i −0.108626 + 0.479122i
\(418\) −15.3318 22.6127i −0.749902 1.10602i
\(419\) −5.65987 2.61854i −0.276503 0.127924i 0.276737 0.960946i \(-0.410747\pi\)
−0.553240 + 0.833022i \(0.686609\pi\)
\(420\) 30.1023 9.93233i 1.46884 0.484648i
\(421\) 33.0926 + 17.5446i 1.61283 + 0.855071i 0.997781 + 0.0665861i \(0.0212107\pi\)
0.615054 + 0.788485i \(0.289134\pi\)
\(422\) −13.2498 + 22.0214i −0.644992 + 1.07199i
\(423\) 9.22702 6.83284i 0.448633 0.332224i
\(424\) −0.969538 1.27541i −0.0470849 0.0619392i
\(425\) −30.2438 20.5058i −1.46704 0.994676i
\(426\) −6.87081 + 5.15522i −0.332892 + 0.249771i
\(427\) −29.7648 + 1.61380i −1.44042 + 0.0780973i
\(428\) 7.17907 + 21.3067i 0.347013 + 1.02990i
\(429\) −14.7171 8.98153i −0.710551 0.433632i
\(430\) −12.2913 2.70553i −0.592741 0.130472i
\(431\) −5.96317 + 7.02039i −0.287236 + 0.338160i −0.886789 0.462175i \(-0.847069\pi\)
0.599553 + 0.800335i \(0.295345\pi\)
\(432\) 8.96192 + 20.3705i 0.431180 + 0.980078i
\(433\) −10.7421 38.6894i −0.516231 1.85929i −0.511462 0.859306i \(-0.670896\pi\)
−0.00476849 0.999989i \(-0.501518\pi\)
\(434\) −2.62319 0.142225i −0.125917 0.00682704i
\(435\) −25.6033 + 17.1255i −1.22758 + 0.821103i
\(436\) −6.22004 + 5.28335i −0.297886 + 0.253026i
\(437\) −33.3328 31.5745i −1.59453 1.51042i
\(438\) 4.34030 15.2595i 0.207388 0.729127i
\(439\) −13.7886 34.6068i −0.658095 1.65169i −0.754458 0.656348i \(-0.772100\pi\)
0.0963631 0.995346i \(-0.469279\pi\)
\(440\) −1.84528 1.94803i −0.0879701 0.0928689i
\(441\) 2.57669 0.247490i 0.122700 0.0117852i
\(442\) 6.09869 + 37.2004i 0.290085 + 1.76944i
\(443\) −3.06155 18.6746i −0.145459 0.887258i −0.954217 0.299116i \(-0.903308\pi\)
0.808758 0.588141i \(-0.200140\pi\)
\(444\) 15.7808 + 0.0992232i 0.748924 + 0.00470893i
\(445\) −27.9116 29.4659i −1.32314 1.39682i
\(446\) −17.3591 43.5681i −0.821978 2.06301i
\(447\) −4.72370 1.34357i −0.223423 0.0635489i
\(448\) −13.7027 12.9799i −0.647391 0.613241i
\(449\) −0.293431 + 0.249243i −0.0138479 + 0.0117625i −0.654284 0.756249i \(-0.727030\pi\)
0.640436 + 0.768012i \(0.278754\pi\)
\(450\) −28.1038 33.9423i −1.32483 1.60006i
\(451\) 16.7071 + 0.905832i 0.786706 + 0.0426540i
\(452\) 2.20879 + 7.95534i 0.103893 + 0.374188i
\(453\) 23.4280 5.00266i 1.10074 0.235045i
\(454\) −13.8094 + 16.2577i −0.648109 + 0.763013i
\(455\) −38.1256 8.39208i −1.78736 0.393427i
\(456\) 1.49456 2.44899i 0.0699891 0.114684i
\(457\) −5.28931 15.6981i −0.247423 0.734326i −0.997346 0.0728014i \(-0.976806\pi\)
0.749923 0.661525i \(-0.230090\pi\)
\(458\) −42.4806 + 2.30323i −1.98499 + 0.107623i
\(459\) −16.7739 + 19.0091i −0.782938 + 0.887270i
\(460\) 44.9922 + 30.5055i 2.09777 + 1.42233i
\(461\) 4.15597 + 5.46708i 0.193563 + 0.254627i 0.882628 0.470072i \(-0.155772\pi\)
−0.689066 + 0.724699i \(0.741979\pi\)
\(462\) 12.2795 + 20.7023i 0.571295 + 0.963157i
\(463\) 1.33356 2.21639i 0.0619757 0.103004i −0.824320 0.566124i \(-0.808442\pi\)
0.886296 + 0.463120i \(0.153270\pi\)
\(464\) 19.0420 + 10.0954i 0.884003 + 0.468669i
\(465\) 0.916157 + 2.77663i 0.0424858 + 0.128763i
\(466\) −9.06223 4.19263i −0.419799 0.194220i
\(467\) 2.74519 + 4.04885i 0.127032 + 0.187358i 0.885887 0.463902i \(-0.153551\pi\)
−0.758854 + 0.651260i \(0.774241\pi\)
\(468\) −2.63245 + 21.6666i −0.121685 + 1.00154i
\(469\) 8.49438 + 2.35845i 0.392234 + 0.108903i
\(470\) 26.1781 + 4.29169i 1.20751 + 0.197961i
\(471\) 2.07543 0.212522i 0.0956307 0.00979248i
\(472\) −0.388660 + 2.27507i −0.0178895 + 0.104719i
\(473\) 4.58809i 0.210961i
\(474\) −5.14879 0.311639i −0.236492 0.0143140i
\(475\) −11.0451 + 39.7809i −0.506784 + 1.82527i
\(476\) 8.06744 23.9433i 0.369771 1.09744i
\(477\) 11.1451 11.4732i 0.510298 0.525323i
\(478\) 4.91828 10.6307i 0.224957 0.486236i
\(479\) 0.894506 + 4.06378i 0.0408710 + 0.185679i 0.992633 0.121157i \(-0.0386606\pi\)
−0.951762 + 0.306836i \(0.900730\pi\)
\(480\) −17.9490 + 44.2375i −0.819254 + 2.01916i
\(481\) −16.6532 10.0199i −0.759320 0.456868i
\(482\) −0.798397 + 0.369378i −0.0363660 + 0.0168247i
\(483\) 27.6331 + 29.5418i 1.25735 + 1.34420i
\(484\) 4.78305 7.05448i 0.217412 0.320658i
\(485\) 33.4932 20.1522i 1.52085 0.915065i
\(486\) −25.8326 + 16.3539i −1.17179 + 0.741826i
\(487\) 15.6833 5.28432i 0.710678 0.239455i 0.0593345 0.998238i \(-0.481102\pi\)
0.651344 + 0.758783i \(0.274206\pi\)
\(488\) 1.93306 2.54290i 0.0875056 0.115112i
\(489\) 2.86634 24.8981i 0.129620 1.12593i
\(490\) 4.55829 + 3.87184i 0.205922 + 0.174912i
\(491\) 1.72957 + 15.9031i 0.0780543 + 0.717697i 0.966140 + 0.258019i \(0.0830698\pi\)
−0.888086 + 0.459678i \(0.847965\pi\)
\(492\) −7.71591 19.7253i −0.347860 0.889284i
\(493\) −1.32921 + 24.5159i −0.0598647 + 1.10414i
\(494\) 37.6314 19.9509i 1.69312 0.897634i
\(495\) 16.4794 21.1216i 0.740693 0.949345i
\(496\) 1.40692 1.48526i 0.0631724 0.0666903i
\(497\) −6.58668 2.62437i −0.295453 0.117719i
\(498\) −3.44664 + 1.79962i −0.154448 + 0.0806431i
\(499\) −2.94016 + 2.78507i −0.131620 + 0.124677i −0.750678 0.660668i \(-0.770273\pi\)
0.619058 + 0.785345i \(0.287514\pi\)
\(500\) 1.75660 16.1517i 0.0785576 0.722325i
\(501\) 5.24560 + 19.3645i 0.234356 + 0.865140i
\(502\) 29.0301 4.75924i 1.29568 0.212415i
\(503\) −28.9410 3.14752i −1.29042 0.140341i −0.562953 0.826489i \(-0.690335\pi\)
−0.727462 + 0.686148i \(0.759300\pi\)
\(504\) −1.44471 + 2.07415i −0.0643525 + 0.0923900i
\(505\) −11.3904 + 4.53837i −0.506868 + 0.201955i
\(506\) −15.2782 + 38.3455i −0.679200 + 1.70466i
\(507\) 2.66214 3.45665i 0.118230 0.153515i
\(508\) 20.7615 + 24.4423i 0.921141 + 1.08445i
\(509\) 17.1125 + 32.2776i 0.758497 + 1.43068i 0.897789 + 0.440426i \(0.145173\pi\)
−0.139292 + 0.990251i \(0.544483\pi\)
\(510\) −58.5070 + 2.80333i −2.59073 + 0.124134i
\(511\) 12.6179 3.50334i 0.558183 0.154979i
\(512\) 30.6492 3.33330i 1.35451 0.147312i
\(513\) 26.4052 + 11.1024i 1.16582 + 0.490182i
\(514\) −3.59974 + 16.3538i −0.158778 + 0.721334i
\(515\) −13.4262 10.2063i −0.591628 0.449744i
\(516\) −5.28652 + 2.40557i −0.232726 + 0.105899i
\(517\) 0.523560 + 9.65649i 0.0230261 + 0.424692i
\(518\) 13.9885 + 23.2491i 0.614620 + 1.02151i
\(519\) −21.3136 11.4720i −0.935561 0.503564i
\(520\) 3.33027 2.53161i 0.146042 0.111018i
\(521\) −7.14695 15.4479i −0.313113 0.676783i 0.685574 0.728003i \(-0.259551\pi\)
−0.998687 + 0.0512194i \(0.983689\pi\)
\(522\) −9.80643 + 27.9384i −0.429216 + 1.22283i
\(523\) −13.3743 + 25.2266i −0.584817 + 1.10308i 0.397806 + 0.917470i \(0.369772\pi\)
−0.982623 + 0.185612i \(0.940573\pi\)
\(524\) 27.4998 6.05316i 1.20133 0.264433i
\(525\) 11.8308 34.3964i 0.516340 1.50118i
\(526\) 24.7541 16.7837i 1.07933 0.731805i
\(527\) 2.20853 + 0.744140i 0.0962050 + 0.0324152i
\(528\) −18.4784 3.14881i −0.804169 0.137034i
\(529\) −7.50160 + 45.7577i −0.326157 + 1.98947i
\(530\) 36.9563 1.60528
\(531\) −23.0392 0.444249i −0.999814 0.0192788i
\(532\) −28.5474 −1.23769
\(533\) −4.22009 + 25.7414i −0.182792 + 1.11498i
\(534\) −38.4602 6.55380i −1.66433 0.283611i
\(535\) 40.7724 + 13.7378i 1.76275 + 0.593938i
\(536\) −0.781897 + 0.530139i −0.0337728 + 0.0228985i
\(537\) −12.5299 + 36.4288i −0.540704 + 1.57202i
\(538\) 28.4708 6.26690i 1.22746 0.270185i
\(539\) −1.02126 + 1.92631i −0.0439889 + 0.0829719i
\(540\) −32.9771 7.91377i −1.41911 0.340554i
\(541\) −6.46735 13.9790i −0.278053 0.601002i 0.717357 0.696706i \(-0.245352\pi\)
−0.995410 + 0.0957040i \(0.969490\pi\)
\(542\) −21.4444 + 16.3016i −0.921115 + 0.700214i
\(543\) −21.6107 11.6319i −0.927402 0.499173i
\(544\) 19.6179 + 32.6053i 0.841112 + 1.39794i
\(545\) 0.845484 + 15.5940i 0.0362165 + 0.667975i
\(546\) −34.1560 + 15.5423i −1.46174 + 0.665148i
\(547\) −17.1765 13.0572i −0.734413 0.558286i 0.169743 0.985488i \(-0.445706\pi\)
−0.904156 + 0.427202i \(0.859499\pi\)
\(548\) −1.50081 + 6.81826i −0.0641115 + 0.291262i
\(549\) 27.9862 + 15.2913i 1.19442 + 0.652615i
\(550\) 36.8992 4.01303i 1.57339 0.171116i
\(551\) 26.7295 7.42140i 1.13871 0.316162i
\(552\) −4.32971 + 0.207456i −0.184285 + 0.00882991i
\(553\) −1.99436 3.76176i −0.0848088 0.159966i
\(554\) 28.9779 + 34.1155i 1.23115 + 1.44943i
\(555\) 18.4263 23.9256i 0.782151 1.01558i
\(556\) −3.95932 + 9.93715i −0.167913 + 0.421429i
\(557\) −24.3716 + 9.71054i −1.03266 + 0.411449i −0.824030 0.566546i \(-0.808279\pi\)
−0.208628 + 0.977995i \(0.566900\pi\)
\(558\) 2.30629 + 1.60640i 0.0976328 + 0.0680043i
\(559\) 7.11102 + 0.773370i 0.300764 + 0.0327101i
\(560\) −41.8834 + 6.86643i −1.76990 + 0.290160i
\(561\) −5.58313 20.6104i −0.235720 0.870174i
\(562\) 4.52670 41.6223i 0.190947 1.75573i
\(563\) 10.7173 10.1520i 0.451682 0.427856i −0.427738 0.903903i \(-0.640689\pi\)
0.879420 + 0.476047i \(0.157931\pi\)
\(564\) 10.8519 5.66622i 0.456949 0.238591i
\(565\) 14.6771 + 5.84788i 0.617469 + 0.246022i
\(566\) 24.2427 25.5927i 1.01899 1.07574i
\(567\) −22.6305 11.1692i −0.950391 0.469064i
\(568\) 0.671273 0.355886i 0.0281660 0.0149327i
\(569\) 1.69608 31.2824i 0.0711035 1.31143i −0.717515 0.696543i \(-0.754720\pi\)
0.788618 0.614883i \(-0.210797\pi\)
\(570\) 24.1093 + 61.6339i 1.00983 + 2.58156i
\(571\) −0.0898877 0.826504i −0.00376168 0.0345881i 0.992107 0.125397i \(-0.0400204\pi\)
−0.995868 + 0.0908086i \(0.971055\pi\)
\(572\) −14.0112 11.9012i −0.585839 0.497616i
\(573\) −3.03916 + 26.3992i −0.126963 + 1.10284i
\(574\) 22.0384 28.9910i 0.919865 1.21006i
\(575\) 59.1117 19.9171i 2.46513 0.830599i
\(576\) 5.15713 + 19.5235i 0.214881 + 0.813478i
\(577\) −28.5757 + 17.1934i −1.18962 + 0.715771i −0.965908 0.258884i \(-0.916645\pi\)
−0.223712 + 0.974655i \(0.571818\pi\)
\(578\) −7.48903 + 11.0455i −0.311503 + 0.459432i
\(579\) 21.8131 + 23.3197i 0.906521 + 0.969135i
\(580\) −29.8078 + 13.7906i −1.23770 + 0.572623i
\(581\) −2.75001 1.65463i −0.114090 0.0686456i
\(582\) 14.1268 34.8174i 0.585576 1.44323i
\(583\) 2.89618 + 13.1575i 0.119948 + 0.544928i
\(584\) −0.589213 + 1.27356i −0.0243818 + 0.0527004i
\(585\) 29.9583 + 29.1014i 1.23862 + 1.20320i
\(586\) −11.0892 + 32.9116i −0.458091 + 1.35956i
\(587\) −12.0287 + 43.3234i −0.496477 + 1.78815i 0.111012 + 0.993819i \(0.464591\pi\)
−0.607489 + 0.794328i \(0.707823\pi\)
\(588\) 2.75500 + 0.166751i 0.113614 + 0.00687668i
\(589\) 2.63321i 0.108499i
\(590\) −36.3537 38.8973i −1.49666 1.60137i
\(591\) 46.7495 4.78710i 1.92302 0.196915i
\(592\) −20.8516 3.41845i −0.856996 0.140497i
\(593\) 15.8554 + 4.40224i 0.651105 + 0.180778i 0.577349 0.816498i \(-0.304087\pi\)
0.0737567 + 0.997276i \(0.476501\pi\)
\(594\) 0.485717 25.7473i 0.0199292 1.05643i
\(595\) −27.1327 40.0177i −1.11233 1.64057i
\(596\) −4.75244 2.19871i −0.194668 0.0900628i
\(597\) −8.34620 25.2951i −0.341587 1.03526i
\(598\) −56.8558 30.1430i −2.32501 1.23264i
\(599\) −6.18311 + 10.2764i −0.252635 + 0.419883i −0.957057 0.289898i \(-0.906379\pi\)
0.704422 + 0.709781i \(0.251206\pi\)
\(600\) 1.98848 + 3.35242i 0.0811794 + 0.136862i
\(601\) 0.716451 + 0.942475i 0.0292246 + 0.0384443i 0.810473 0.585776i \(-0.199210\pi\)
−0.781249 + 0.624220i \(0.785417\pi\)
\(602\) −8.26534 5.60404i −0.336870 0.228404i
\(603\) −6.39954 6.92837i −0.260609 0.282145i
\(604\) 25.5058 1.38288i 1.03781 0.0562687i
\(605\) −5.20773 15.4560i −0.211725 0.628376i
\(606\) −6.13984 + 10.0607i −0.249414 + 0.408690i
\(607\) 4.27809 + 0.941680i 0.173643 + 0.0382216i 0.300941 0.953643i \(-0.402699\pi\)
−0.127298 + 0.991865i \(0.540630\pi\)
\(608\) 27.8339 32.7686i 1.12881 1.32894i
\(609\) −23.9016 + 5.10380i −0.968543 + 0.206816i
\(610\) 19.7124 + 70.9976i 0.798131 + 2.87461i
\(611\) −15.0547 0.816243i −0.609048 0.0330216i
\(612\) −20.8206 + 17.2392i −0.841624 + 0.696854i
\(613\) 19.2013 16.3098i 0.775534 0.658745i −0.169568 0.985518i \(-0.554237\pi\)
0.945103 + 0.326774i \(0.105962\pi\)
\(614\) −39.8085 37.7086i −1.60654 1.52180i
\(615\) −38.9850 11.0886i −1.57203 0.447136i
\(616\) −0.788038 1.97783i −0.0317509 0.0796888i
\(617\) −10.1877 10.7550i −0.410141 0.432981i 0.487895 0.872902i \(-0.337765\pi\)
−0.898036 + 0.439921i \(0.855006\pi\)
\(618\) −16.2114 0.101931i −0.652118 0.00410025i
\(619\) −3.74739 22.8580i −0.150620 0.918742i −0.948697 0.316187i \(-0.897597\pi\)
0.798077 0.602556i \(-0.205851\pi\)
\(620\) 0.504368 + 3.07651i 0.0202559 + 0.123555i
\(621\) −8.50456 42.4338i −0.341276 1.70281i
\(622\) 2.65533 + 2.80320i 0.106469 + 0.112398i
\(623\) −11.9198 29.9165i −0.477558 1.19858i
\(624\) 7.99502 28.1087i 0.320057 1.12525i
\(625\) 4.61486 + 4.37143i 0.184594 + 0.174857i
\(626\) 38.5699 32.7616i 1.54156 1.30942i
\(627\) −20.0540 + 13.4137i −0.800881 + 0.535692i
\(628\) 2.22123 + 0.120432i 0.0886368 + 0.00480575i
\(629\) −6.43951 23.1930i −0.256760 0.924767i
\(630\) −17.9216 55.4858i −0.714015 2.21061i
\(631\) −17.8274 + 20.9880i −0.709696 + 0.835519i −0.992318 0.123713i \(-0.960520\pi\)
0.282622 + 0.959231i \(0.408796\pi\)
\(632\) 0.445584 + 0.0980804i 0.0177244 + 0.00390143i
\(633\) 19.3732 + 11.8230i 0.770015 + 0.469922i
\(634\) −0.293496 0.871064i −0.0116562 0.0345944i
\(635\) 61.2784 3.32242i 2.43176 0.131846i
\(636\) 13.6419 10.2356i 0.540937 0.405869i
\(637\) −2.81341 1.90754i −0.111471 0.0755795i
\(638\) −15.0927 19.8541i −0.597526 0.786032i
\(639\) 4.51434 + 6.09614i 0.178585 + 0.241159i
\(640\) 4.36689 7.25783i 0.172617 0.286891i
\(641\) −26.9370 14.2811i −1.06395 0.564069i −0.157991 0.987441i \(-0.550502\pi\)
−0.905956 + 0.423371i \(0.860847\pi\)
\(642\) 39.2752 12.9589i 1.55007 0.511449i
\(643\) 6.39730 + 2.95970i 0.252285 + 0.116719i 0.541956 0.840407i \(-0.317684\pi\)
−0.289671 + 0.957126i \(0.593546\pi\)
\(644\) 24.2046 + 35.6991i 0.953796 + 1.40674i
\(645\) −2.45746 + 10.8393i −0.0967623 + 0.426796i
\(646\) 50.8284 + 14.1124i 1.99982 + 0.555247i
\(647\) −25.2336 4.13684i −0.992036 0.162636i −0.356158 0.934426i \(-0.615914\pi\)
−0.635878 + 0.771790i \(0.719362\pi\)
\(648\) 2.48215 1.07343i 0.0975081 0.0421684i
\(649\) 10.9996 15.9913i 0.431771 0.627712i
\(650\) 57.8661i 2.26969i
\(651\) −0.140162 + 2.31571i −0.00549339 + 0.0907599i
\(652\) 7.14913 25.7488i 0.279981 1.00840i
\(653\) −0.984127 + 2.92078i −0.0385119 + 0.114299i −0.965184 0.261571i \(-0.915760\pi\)
0.926672 + 0.375870i \(0.122656\pi\)
\(654\) 9.64639 + 11.5024i 0.377204 + 0.449780i
\(655\) 22.6250 48.9031i 0.884031 1.91080i
\(656\) 6.09650 + 27.6967i 0.238028 + 1.08137i
\(657\) −13.4513 3.91758i −0.524786 0.152839i
\(658\) 18.0354 + 10.8516i 0.703094 + 0.423038i
\(659\) 6.29956 2.91449i 0.245396 0.113532i −0.293336 0.956009i \(-0.594766\pi\)
0.538732 + 0.842477i \(0.318903\pi\)
\(660\) 20.8608 19.5131i 0.812007 0.759545i
\(661\) −3.54891 + 5.23424i −0.138036 + 0.203588i −0.890424 0.455133i \(-0.849592\pi\)
0.752387 + 0.658721i \(0.228902\pi\)
\(662\) −1.68447 + 1.01351i −0.0654689 + 0.0393913i
\(663\) 32.8849 5.17911i 1.27715 0.201140i
\(664\) 0.325913 0.109813i 0.0126479 0.00426156i
\(665\) −33.0596 + 43.4891i −1.28199 + 1.68644i
\(666\) 0.365028 29.0265i 0.0141445 1.12475i
\(667\) −31.9439 27.1334i −1.23687 1.05061i
\(668\) 2.31283 + 21.2661i 0.0894859 + 0.822809i
\(669\) −38.5707 + 15.0877i −1.49123 + 0.583323i
\(670\) 1.17977 21.7595i 0.0455784 0.840643i
\(671\) −23.7324 + 12.5821i −0.916177 + 0.485726i
\(672\) −26.2221 + 27.3360i −1.01154 + 1.05451i
\(673\) −34.4657 + 36.3850i −1.32856 + 1.40254i −0.476423 + 0.879216i \(0.658067\pi\)
−0.852134 + 0.523324i \(0.824692\pi\)
\(674\) −45.6391 18.1843i −1.75795 0.700433i
\(675\) −30.1300 + 24.6296i −1.15970 + 0.947993i
\(676\) 3.37733 3.19918i 0.129897 0.123045i
\(677\) −4.81215 + 44.2470i −0.184946 + 1.70055i 0.422640 + 0.906298i \(0.361103\pi\)
−0.607586 + 0.794254i \(0.707862\pi\)
\(678\) 14.6588 3.97090i 0.562968 0.152501i
\(679\) 30.6062 5.01764i 1.17456 0.192559i
\(680\) 5.15059 + 0.560160i 0.197516 + 0.0214812i
\(681\) 14.2803 + 12.2852i 0.547222 + 0.470769i
\(682\) −2.19918 + 0.876233i −0.0842109 + 0.0335527i
\(683\) 3.77406 9.47217i 0.144410 0.362443i −0.838924 0.544248i \(-0.816815\pi\)
0.983334 + 0.181806i \(0.0581942\pi\)
\(684\) 25.9701 + 16.0739i 0.992991 + 0.614601i
\(685\) 8.64891 + 10.1823i 0.330458 + 0.389045i
\(686\) −15.8100 29.8208i −0.603628 1.13856i
\(687\) 1.79808 + 37.5268i 0.0686009 + 1.43174i
\(688\) 7.49324 2.08049i 0.285677 0.0793178i
\(689\) −20.8808 + 2.27092i −0.795495 + 0.0865153i
\(690\) 56.6329 82.4071i 2.15598 3.13718i
\(691\) −5.37851 + 24.4348i −0.204608 + 0.929543i 0.756634 + 0.653838i \(0.226842\pi\)
−0.961242 + 0.275705i \(0.911089\pi\)
\(692\) −20.5459 15.6186i −0.781037 0.593729i
\(693\) 18.3500 10.7289i 0.697061 0.407558i
\(694\) −1.77213 32.6850i −0.0672691 1.24070i
\(695\) 10.5531 + 17.5394i 0.400303 + 0.665309i
\(696\) 1.24128 2.30615i 0.0470507 0.0874146i
\(697\) −25.7187 + 19.5509i −0.974166 + 0.740542i
\(698\) 3.01704 + 6.52122i 0.114197 + 0.246832i
\(699\) −3.75277 + 7.97943i −0.141943 + 0.301810i
\(700\) 18.1667 34.2661i 0.686638 1.29514i
\(701\) 31.0515 6.83496i 1.17280 0.258153i 0.414494 0.910052i \(-0.363958\pi\)
0.758306 + 0.651899i \(0.226027\pi\)
\(702\) 39.8236 + 5.09279i 1.50304 + 0.192215i
\(703\) −22.5103 + 15.2624i −0.848993 + 0.575632i
\(704\) −16.1179 5.43076i −0.607467 0.204680i
\(705\) 3.93528 23.0937i 0.148211 0.869758i
\(706\) 6.14376 37.4753i 0.231223 1.41040i
\(707\) −9.72873 −0.365887
\(708\) −24.1927 4.28967i −0.909217 0.161216i
\(709\) −9.07304 −0.340745 −0.170373 0.985380i \(-0.554497\pi\)
−0.170373 + 0.985380i \(0.554497\pi\)
\(710\) −2.83544 + 17.2954i −0.106412 + 0.649087i
\(711\) −0.303792 + 4.54508i −0.0113931 + 0.170454i
\(712\) 3.27025 + 1.10188i 0.122558 + 0.0412945i
\(713\) −3.29289 + 2.23263i −0.123320 + 0.0836127i
\(714\) −43.9487 15.1164i −1.64474 0.565716i
\(715\) −34.3562 + 7.56236i −1.28485 + 0.282816i
\(716\) −19.2401 + 36.2907i −0.719037 + 1.35625i
\(717\) −9.36049 4.40228i −0.349574 0.164406i
\(718\) 2.48799 + 5.37771i 0.0928511 + 0.200694i
\(719\) 4.26859 3.24490i 0.159191 0.121014i −0.522546 0.852611i \(-0.675018\pi\)
0.681738 + 0.731597i \(0.261225\pi\)
\(720\) 41.9683 + 17.3363i 1.56407 + 0.646087i
\(721\) −6.89895 11.4661i −0.256930 0.427021i
\(722\) −1.20931 22.3045i −0.0450060 0.830086i
\(723\) 0.321759 + 0.707104i 0.0119663 + 0.0262975i
\(724\) −20.8323 15.8363i −0.774226 0.588551i
\(725\) −8.10178 + 36.8068i −0.300893 + 1.36697i
\(726\) −12.9209 8.87966i −0.479539 0.329555i
\(727\) 6.99812 0.761091i 0.259546 0.0282273i 0.0225790 0.999745i \(-0.492812\pi\)
0.236967 + 0.971518i \(0.423847\pi\)
\(728\) 3.19824 0.887986i 0.118535 0.0329109i
\(729\) 14.2984 + 22.9032i 0.529571 + 0.848266i
\(730\) −15.1624 28.5992i −0.561184 1.05851i
\(731\) 5.73513 + 6.75191i 0.212121 + 0.249729i
\(732\) 26.9404 + 20.7482i 0.995747 + 0.766874i
\(733\) −17.1166 + 42.9595i −0.632217 + 1.58674i 0.167170 + 0.985928i \(0.446537\pi\)
−0.799387 + 0.600817i \(0.794842\pi\)
\(734\) 20.6673 8.23462i 0.762846 0.303945i
\(735\) 3.44448 4.00386i 0.127051 0.147684i
\(736\) −64.5776 7.02324i −2.38036 0.258880i
\(737\) 7.83946 1.28521i 0.288770 0.0473415i
\(738\) −36.3724 + 13.9647i −1.33889 + 0.514048i
\(739\) 0.894006 8.22025i 0.0328865 0.302387i −0.966130 0.258055i \(-0.916919\pi\)
0.999017 0.0443321i \(-0.0141160\pi\)
\(740\) 23.3765 22.1434i 0.859339 0.814009i
\(741\) −17.4094 33.3425i −0.639550 1.22487i
\(742\) 27.2404 + 10.8536i 1.00003 + 0.398447i
\(743\) 4.91795 5.19182i 0.180422 0.190469i −0.629511 0.776992i \(-0.716745\pi\)
0.809933 + 0.586522i \(0.199503\pi\)
\(744\) −0.179405 0.172095i −0.00657731 0.00630929i
\(745\) −8.85313 + 4.69363i −0.324354 + 0.171961i
\(746\) −2.97617 + 54.8923i −0.108965 + 2.00975i
\(747\) 1.57008 + 3.05367i 0.0574463 + 0.111728i
\(748\) −2.46164 22.6344i −0.0900066 0.827597i
\(749\) 26.0187 + 22.1005i 0.950701 + 0.807533i
\(750\) −29.6895 3.41794i −1.08411 0.124806i
\(751\) −17.1770 + 22.5960i −0.626798 + 0.824538i −0.994426 0.105435i \(-0.966377\pi\)
0.367629 + 0.929973i \(0.380170\pi\)
\(752\) −15.5335 + 5.23384i −0.566448 + 0.190859i
\(753\) −4.04162 25.6625i −0.147285 0.935192i
\(754\) 33.3157 20.0454i 1.21328 0.730009i
\(755\) 27.4305 40.4570i 0.998298 1.47238i
\(756\) −21.9832 15.5182i −0.799520 0.564390i
\(757\) 31.9694 14.7906i 1.16195 0.537574i 0.258389 0.966041i \(-0.416808\pi\)
0.903557 + 0.428467i \(0.140946\pi\)
\(758\) −23.2578 13.9937i −0.844761 0.508276i
\(759\) 33.7775 + 13.7049i 1.22604 + 0.497456i
\(760\) −1.25840 5.71699i −0.0456471 0.207377i
\(761\) −2.99057 + 6.46401i −0.108408 + 0.234320i −0.954186 0.299216i \(-0.903275\pi\)
0.845777 + 0.533536i \(0.179137\pi\)
\(762\) 45.1999 37.9065i 1.63742 1.37321i
\(763\) −3.95656 + 11.7426i −0.143237 + 0.425112i
\(764\) −7.58017 + 27.3013i −0.274241 + 0.987726i
\(765\) 2.15072 + 51.6822i 0.0777595 + 1.86857i
\(766\) 29.7845i 1.07616i
\(767\) 22.9305 + 19.7436i 0.827974 + 0.712899i
\(768\) −3.20463 31.2955i −0.115637 1.12928i
\(769\) 1.63749 + 0.268452i 0.0590493 + 0.00968063i 0.191234 0.981544i \(-0.438751\pi\)
−0.132185 + 0.991225i \(0.542199\pi\)
\(770\) 47.3218 + 13.1388i 1.70536 + 0.473491i
\(771\) 14.4218 + 3.26968i 0.519387 + 0.117755i
\(772\) 19.1067 + 28.1803i 0.687665 + 1.01423i
\(773\) 9.79829 + 4.53317i 0.352420 +